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AIMS Mathematics, 2018, 3(3): 353-364. doi: 10.3934/Math.2018.3.353. Research article

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Study of Multivalent Spirallike Bazilevic Functions

Nazar Khan, Ajmal Khan, Qazi Zahoor Ahmad, Bilal Khan, Shahid Khan

¹ Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad, Pakistan
² Department of Mathematics, Riphah International University Islamabad, Pakistan

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In this paper, we introduce certain new subclasses of multivalent spirallike Bazilevicfunctions by using the concept of k-uniformly starlikness and k-uniformly convexity. We proveinclusion relations, su cient condition and Fekete-Szego inequality for these classes of functions.Convolution properties for these classes are also discussed.

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Keywords: kpirallike function; Bazilevic functions; multivalent function; necessary and su cientconditions

Citation: Nazar Khan, Ajmal Khan, Qazi Zahoor Ahmad, Bilal Khan, Shahid Khan. Study of Multivalent Spirallike Bazilevic Functions. AIMS Mathematics, 2018, 3(3): 353-364. doi: 10.3934/Math.2018.3.353

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